Weakly singular and microscopically hypersingular load perturbation for a nonlinear traction boundary value problem: a functional analytic approach

DOI10.1007/s11785-010-0109-yzbMath1279.35042OpenAlexW2040577451MaRDI QIDQ371595

Massimo Lanza de Cristoforis, Matteo Dalla Riva

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-010-0109-y

zbMATH Keywords

elliptic systemsreal analytic continuation in Banach spacesingularly perturbed domainlinearized elastostatics operatornonlinear traction boundary value problem

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Singular perturbations in context of PDEs (35B25) Homogenization in equilibrium problems of solid mechanics (74Q05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary value problems for second-order elliptic systems (35J57)

Related Items (11)

Perturbation analysis of the effective conductivity of a periodic composite ⋮ Shape analyticity and singular perturbations for layer potential operators ⋮ A nonlinear problem for the Laplace equation with a degenerating Robin condition ⋮ A singularly perturbed Neumann problem for the Poisson equation in a periodically perforated domain. A functional analytic approach ⋮ The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation ⋮ Unnamed Item ⋮ A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach ⋮ Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains ⋮ Harmonic Functions in a Domain with a Small Hole: A Functional Analytic Approach ⋮ A Functional Analytic Approach to Homogenization Problems ⋮ A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains
• Strong Localized Perturbations of Eigenvalue Problems
• A singularly perturbed nonlinear traction boundary value problem for linearized elastostatics. A functional analytic approach
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• Singularly perturbed loads for a nonlinear traction boundary value problem on a singularly perturbed domain
• Microscopically weakly singularly perturbed loads for a nonlinear traction boundary value problem: a functional analytic approach
• Asymptotic behavior of the solutions of a nonlinear Robin problem for the Laplace operator in a domain with a small hole: a functional analytic approach

This page was built for publication: Weakly singular and microscopically hypersingular load perturbation for a nonlinear traction boundary value problem: a functional analytic approach